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7) In the diagram below of right triangle ACB, altitude
intersects
at D. If
and
, find the length of in
simplest radical form.
8) The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments
whose lengths are 12 and 48. What is the length of the altitude to the nearest tenth?
9) In the accompanying diagram of
ABC, altitude is drawn to the hypotenuse, separating
the triangle into two smaller triangles, ADC and BDC.
Which statement about these triangles is not always true?
(1) The corresponding angles of all three triangles are congruent.
(2) The corresponding sides of all three triangles are proportional.
(3) The two smaller triangles, ADC and BDC, are congruent.
(4) The two smaller triangles, ADC and BDC, are similar.
10) The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments
whose lengths are 10 and 17. What is the length of the altitude to the nearest hundredth?